The distribution function of the distance between two random points in a right-angled triangle
Probability
2012-09-18 v2
Abstract
In this paper we obtain the density function and the distribution function of the distance between two uniformly and independently distributed random points in any right-angled triangle. The density function is derived from the chord length distribution function using Piefke's formula. We conclude results for random distances between two congruent right-angled triangles together forming a rectangle.
Keywords
Cite
@article{arxiv.1208.6228,
title = {The distribution function of the distance between two random points in a right-angled triangle},
author = {Uwe Bäsel},
journal= {arXiv preprint arXiv:1208.6228},
year = {2012}
}
Comments
15 pages, 5 figures